Understanding fast Hankel transforms

被引：9

作者：

Suter, BW ^{[1
]}

Hedges, RA ^{[1
]}

机构：

[1] USAF, Res Lab, Rome, NY 13441 USA

来源：

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 2001年 / 18卷 / 03期

关键词：

D O I：

10.1364/JOSAA.18.000717

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Recently Ferrari et al. [J. Opt. Soc. Am. A 16, 2581 (1999)] presented an algorithm for the numerical evaluation of the Hankel transform of nth order. We demonstrate that this formulation can be interpreted as an application of the projection slice theorem. (C) 2001 Optical Society of America.

引用

页码：717 / 720

页数：4

共 15 条

[1]

[Anonymous], 1962, INTRO FOURIER ANAL G

[2]

ARFKEN G, 1968, MATH METHODS PHYSICI

[3]

Bracewell R., 1984, FOURIER TRANSFORM IT

[4] REPRESENTATION OF FUNCTION BY ITS LINE INTEGRALS WITH SOME RADIOLOGICAL APPLICATIONS .2. [J].

CORMACK, AM .

JOURNAL OF APPLIED PHYSICS, 1964, 35 (10) :2908-&

[5] REPRESENTATION OF A FUNCTION BY ITS LINE INTEGRALS WITH SOME RADIOLOGICAL APPLICATIONS [J].

CORMACK, AM .

JOURNAL OF APPLIED PHYSICS, 1963, 34 (09) :2722-&

[6]

Deans S., 1983, RADON TRANSFORM SOME

[7] Fast Hankel transform of nth order [J].

Ferrari, JA ;

Perciante, D ;

Dubra, A .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1999, 16 (10) :2581-2582

[8] FAST HANKEL TRANSFORM ALGORITHM [J].

HANSEN, EW .

IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1985, 33 (03) :666-671

[9] AN ALGORITHM FOR THE NUMERICAL EVALUATION OF THE HANKEL AND ABEL TRANSFORMS [J].

MOOK, DR .

IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1983, 31 (04) :979-985

[10] COMPUTATION OF THE HANKEL TRANSFORM USING PROJECTIONS [J].

OPPENHEIM, AV ;

FRISK, GV ;

MARTINEZ, DR .

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1980, 68 (02) :523-529

← 1 2 →